{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import igraph as ig\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 可视化联通图或集群图, 使用著名的Zachary图\n",
    "g = ig.Graph.Famous(\"Zachary\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 边数是检测社区的标准方法。 然后转换成一个 igraph.VertexClustering 对象以便于后续使用：\n",
    "communities = g.community_edge_betweenness()\n",
    "communities = communities.as_clustering()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 按照联通成员为顶点和边着色\n",
    "num_communities = len(communities)\n",
    "palette = ig.RainbowPalette(n=num_communities)\n",
    "for i, community in enumerate(communities):\n",
    "    g.vs[community][\"color\"] = i\n",
    "    community_edges = g.es.select(_within=community)\n",
    "    community_edges[\"color\"] = i"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ig.plot(\n",
    "    communities,\n",
    "    palette=palette,\n",
    "    edge_width=1,\n",
    "    target=ax,\n",
    "    vertex_size=0.3,\n",
    ")\n",
    "\n",
    "# Create a custom color legend\n",
    "legend_handles = []\n",
    "for i in range(num_communities):\n",
    "    handle = ax.scatter(\n",
    "        [], [],\n",
    "        s=100,\n",
    "        facecolor=palette.get(i),\n",
    "        edgecolor=\"k\",\n",
    "        label=i,\n",
    "    )\n",
    "    legend_handles.append(handle)\n",
    "ax.legend(\n",
    "    handles=legend_handles,\n",
    "    title='Community:',\n",
    "    bbox_to_anchor=(0, 1.0),\n",
    "    bbox_transform=ax.transAxes,\n",
    ")\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.10.6 ('py310')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.6"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "49ec5068d4d6d3736c39d3918a16f1ca551a23384109b69898c01c2015d1370c"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
